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Finding the Third Proportional to 30,154 and 65,396

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Solution

The third proportional to 30,154 and 65,396 is: 141,826.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,154 : 65,396 = 65,396 : x
  2. Step 2: Convert to fraction form
    30,154/65,396 = 65,396/x
  3. Step 3: Cross multiply
    30,154x = 65,396 × 65,396
  4. Step 4: Simplify right side
    30,154x = 4,276,636,816
  5. Step 5: Solve for x
    x = 4,276,636,816/30,154
  6. Step 6: Final answer
    x = 141,826.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.